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Finding the Fourth Proportional to 466,843.40, 700,167.90 and 200,612.60

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Solution

The fourth proportional to 466,843.40, 700,167.90 and 200,612.60 is: 300,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,843.40 : 700,167.90 = 200,612.60 : x
  2. Step 2: Convert to fraction form
    466,843.40/700,167.90 = 200,612.60/x
  3. Step 3: Cross multiply
    466,843.40x = 700,167.90 × 200,612.60
  4. Step 4: Simplify right side
    466,843.40x = 140,462,502,855.54
  5. Step 5: Solve for x
    x = 140,462,502,855.54/466,843.40
  6. Step 6: Final answer
    x = 300,877.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.